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Question Detail
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.
- 2:5
- 2:7
- 5:7
- 5:3
Answer: Option D
Explanation:
Let the first number is A and second number is B.
As per question
\begin{aligned}
\frac{40}{100}A = \frac{2}{3}B \\
\frac{A}{B} = \frac{2}{3}*\frac{100}{40} \\
\frac{A}{B} = \frac{5}{3} \\
=> A:B = 5:3
\end{aligned}
1. Find the fourth proportion to 2,3,6
- 18
- 12
- 9
- 4
Answer: Option C
Explanation:
2:3 :: 6:x
=> 2/3 = 6/x
=> x = 18/2
=> x = 9
2. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary.
- 32000
- 34000
- 38000
- 40000
Answer: Option C
Explanation:
Let the original Salaries of Ravi and Sumit is 2x and 3x.
So as per question
\begin{aligned}
\frac{2x+4000}{3x+4000} = \frac{40}{57} \\
=> 57(2x+4000) = 40(3x+4000) \\
=> 6x = 68000 \\
=> 3x = 34000 \\
\text{ Sumit Salary =} 3x+4000 \\
34000 + 4000 = 38000
\end{aligned}
3. If A:B:C = 2:3:4, then find
\begin{aligned}
\frac{A}{B}:\frac{B}{C}:\frac{C}{A}
\end{aligned}
- 5:9:24
- 6:9:24
- 7:9:24
- 8:9:24
Answer: Option D
Explanation:
Let A = 2x, B = 3x, C = 4x, then,
\begin{aligned}
\frac{A}{B} = \frac{2x}{3x} = \frac{2}{3} \\
\frac{B}{C} = \frac{3x}{4x} = \frac{3}{4} \\
\frac{C}{A} = \frac{4x}{2x} = \frac{2}{1} \\
=> \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \\
= \frac{2}{3}:\frac{3}{4}:\frac{2}{1} \\
= 8:9:24
\end{aligned}
4. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, then the second number is
- 10
- 17
- 25
- 30
Answer: Option D
Explanation:
\begin{aligned}
a:b = 2:3 \\
b:c = 5:8 = (5*\frac{3}{5} : 8*\frac{3}{5}) \\
= 3:\frac{24}{5} \\
a:b:c = 2:3:\frac{24}{5} \\
= 10:15:24 \\
b = 98*\frac{15}{49} \\
= 30
\end{aligned}
5. Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share
- Rs 10
- Rs 20
- Rs 24
- Rs 28
Answer: Option B
Explanation:
Let C = x. Then A = (x—20) and B = (x—40).
x + x - 20 + x - 40 = 120 Or x=60.
A:B:C = 40:20:60 = 2:1 :3.
B's share = Rs. 120*(1/6) = Rs. 20
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